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Simplifying abs(6x + -9) = abs(-4x + 2) Reorder the terms: abs(-9 + 6x) = abs(-4x + 2) (-9 * abs + 6x * abs) = abs(-4x + 2) (-9abs + 6absx) = abs(-4x + 2) Reorder the terms: -9abs + 6absx = abs(2 + -4x) -9abs + 6absx = (2 * abs + -4x * abs) -9abs + 6absx = (2abs + -4absx) Solving -9abs + 6absx = 2abs + -4absx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2abs' to each side of the equation. -9abs + -2abs + 6absx = 2abs + -2abs + -4absx Combine like terms: -9abs + -2abs = -11abs -11abs + 6absx = 2abs + -2abs + -4absx Combine like terms: 2abs + -2abs = 0 -11abs + 6absx = 0 + -4absx -11abs + 6absx = -4absx Add '4absx' to each side of the equation. -11abs + 6absx + 4absx = -4absx + 4absx Combine like terms: 6absx + 4absx = 10absx -11abs + 10absx = -4absx + 4absx Combine like terms: -4absx + 4absx = 0 -11abs + 10absx = 0 Factor out the Greatest Common Factor (GCF), 'abs'. abs(-11 + 10x) = 0Subproblem 1
Set the factor 'abs' equal to zero and attempt to solve: Simplifying abs = 0 Solving abs = 0 Move all terms containing a to the left, all other terms to the right. Simplifying abs = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-11 + 10x)' equal to zero and attempt to solve: Simplifying -11 + 10x = 0 Solving -11 + 10x = 0 Move all terms containing a to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 10x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 10x = 0 + 11 10x = 0 + 11 Combine like terms: 0 + 11 = 11 10x = 11 Add '-10x' to each side of the equation. 10x + -10x = 11 + -10x Combine like terms: 10x + -10x = 0 0 = 11 + -10x Simplifying 0 = 11 + -10x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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